Given the value of Rydberg constant is 10⁷ m⁻¹, the wave number of the last line of the Balmer series in hydrogen spectrum will be

When an $\alpha$-particle of mass $m$ moving with velocity $v$ bombards on a heavy nucleus of charge $Ze,$ its distance of closest approach from the nucleus depends on $m$ as

The ratio of the wavelength of the last line of the Balmer series and the last line of the Lyman series is

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom is

The total energy of an electron in an atom in an orbit is $-3.4$ eV. Its kinetic and potential energies are, respectively:

For which one of the following, Bohr model is not valid?

Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to the Bohr’s model of an atom; the ratio $T_1 : T_2$ is:

In hydrogen spectrum, the shortest wavelength in the Balmer series is $\lambda.$ The shortest wavelength in the Brackett series is:

The radius of the innermost orbit of hydrogen atom is $5.3 \times 10^{-11} m.$ What is the radius of third allowed orbit of hydrogen atom?

Match List I with List II.

Given below are two statements:$\\ \textbf{Statement I:}$ Atoms are electrically neutral as they contain equal number of positive and negative charges.$\\ \textbf{Statement II:}$ Atoms of each element are stable and emit their characteristic spectrum.$\\$In the light of the above statements, choose the most appropriate answer from the options given below: